@article{Jia2023, 
author = {Cuiman Jia and Feng Tian},
title = {Regularity of weak solution of the compressible Navier-Stokes equations with self-consistent Poisson equation by Moser iteration},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {10},
pages = {22944-22962},
keywords = {regularity, Moser iteration, Gronwall inequality, Calderon-Zygmund},
url = {https://www.sciopen.com/article/10.3934/math.20231167},
doi = {10.3934/math.20231167},
abstract = {In this paper, we consider the regularity of the weak solution to the compressible Navier-Stokes-Poisson equations in period domain    Ω  ⊆            R        3   provided that the density    ρ  (  t  ,  x  ) with integrability on the space        L          ∞        (  0  ,  T  ;      L                  q        0              (  Ω  )  ) where        q    0   satisfies a certain condition and    T  >  0, by which we could present that        sup          t      ,      x        ρ  (  t  ,  x  )  <  ∞ and        inf          t      ,      x        ρ  (  t  ,  x  )  >  0. Furthermore, we develop the estimate for the velocity    ‖  u      ‖                  L                  ∞                     by the Moser iteration method and Gronwall inequality.}
}